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Finding the Fourth Proportional to 5,615.10, 7,752 and 3,729.26

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Solution

The fourth proportional to 5,615.10, 7,752 and 3,729.26 is: 5,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.10 : 7,752 = 3,729.26 : x
  2. Step 2: Convert to fraction form
    5,615.10/7,752 = 3,729.26/x
  3. Step 3: Cross multiply
    5,615.10x = 7,752 × 3,729.26
  4. Step 4: Simplify right side
    5,615.10x = 28,909,223.52
  5. Step 5: Solve for x
    x = 28,909,223.52/5,615.10
  6. Step 6: Final answer
    x = 5,148.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.